Question 1

What is the average number of students who appeared across all five schools?

Accepted Answer

Step 1: Total students appeared = 200 + 250 + 300 + 180 + 400 = 1330. Step 2: Average = 1330 / 5 = 266. Answer: 266

Question 2

What is the pass percentage of School C in the year 2021?

Accepted Answer

Step 1: Identify values for School C in 2021 — Appeared = 800, Passed = 640. Step 2: Pass % = (640 / 800) × 100 = 80%. Answer: 80%

Question 3

What is the ratio of the total production of Product P to the total production of Product T over all four years?

Accepted Answer

Step 1: Total production of P = 120 + 150 + 180 + 210 = 660 thousand units. Step 2: Total production of T = 140 + 160 + 200 + 180 = 680 thousand units. Step 3: Ratio = 660 : 680 = 33 : 34. Answer: 33 : 34

Question 4

By what percentage did the production of Product Q increase from 2019 to 2022?

Accepted Answer

Step 1: Production of Q in 2019 = 200 thousand units. Step 2: Production of Q in 2022 = 260 thousand units. Step 3: Increase = 260 − 200 = 60 thousand units. Step 4: Percentage increase = (60 ÷ 200) × 100 = 30%. Answer: 30%

Question 5

In which year was the total production of all five products together the highest?

Accepted Answer

Step 1: Total in 2019 = 120 + 200 + 160 + 80 + 140 = 700 thousand units. Step 2: Total in 2020 = 150 + 240 + 180 + 100 + 160 = 830 thousand units. Step 3: Total in 2021 = 180 + 220 + 200 + 140 + 200 = 940 thousand units. Step 4: Total in 2022 = 210 + 260 + 240 + 160 + 180 = 1050 thousand units. Step 5: Highest total = 1050 thousand units in 2022. Answer: 2022

Question 6

What is the average number of students who passed per department across all five departments?

Accepted Answer

Step 1: Total students passed = 560 + 480 + 525 + 400 + 630 = 2595. Step 2: Average = 2595 ÷ 5 = 519. Answer: 519

Question 7

What is the ratio of total students who passed from School A and School B together in 2020 to those who passed from School D and School E together in 2020?

Accepted Answer

Step 1: Passed from A and B in 2020 = 400 + 300 = 700. Step 2: Passed from D and E in 2020 = 240 + 150 = 390. Step 3: Ratio = 700 : 390 = 70 : 39. Answer: 70 : 39

Question 8

By what percentage did the number of students who appeared from School E increase from 2020 to 2021?

Accepted Answer

Step 1: Appeared in 2020 from School E = 200; Appeared in 2021 = 300. Step 2: Increase = 300 - 200 = 100. Step 3: Percentage increase = (100 / 200) × 100 = 50%. Answer: 50%

Question 9

What is the ratio of total students passed in School A to the total students passed in School C?

Accepted Answer

Step 1: Students passed in School A = 960. Step 2: Students passed in School C = 640. Step 3: Ratio = 960 : 640 = 3 : 2. Answer: 3 : 2

Question 10

What is the combined sales value (in ₹) of Clothing and Books & Stationery categories?

Accepted Answer

Step 1: Clothing = 22% and Books & Stationery = 16%. Step 2: Combined percentage = 22% + 16% = 38%. Step 3: 38% of ₹50,000 = (38/100) × 50,000 = ₹19,000. Answer: ₹19,000

Question 11

If the store's total sales increase to ₹60,000 next month with the same percentage distribution, what will be the sales value (in ₹) of the Clothing category?

Accepted Answer

Step 1: Clothing represents 22% of total sales. Step 2: 22% of ₹60,000 = (22/100) × 60,000 = ₹13,200. Answer: ₹13,200

Question 12

What is the sales value (in ₹) of the Electronics category?

Accepted Answer

Step 1: Electronics represents 28% of total sales. Step 2: 28% of ₹50,000 = (28/100) × 50,000 = ₹14,000. Answer: ₹14,000

Question 13

In School B, what percentage of the students who passed were Girls?

Accepted Answer

Step 1: Girls passed in School B = 420. Step 2: Total passed in School B = 1050. Step 3: Percentage = (420 ÷ 1050) × 100 = 40%. Answer: 40%

Question 14

The number of Boys passed in School E is what percent more than the number of Boys passed in School C?

Accepted Answer

Step 1: Boys passed in School E = 700. Step 2: Boys passed in School C = 320. Step 3: Difference = 700 − 320 = 380. Step 4: Percentage more = (380 ÷ 320) × 100 = 118.75%. Answer: 118.75%

Question 15

How many students failed (i.e., did not pass) in total across School D and School E together?

Accepted Answer

Step 1: Students failed in School D = 1000 − 750 = 250. Step 2: Students failed in School E = 1800 − 1260 = 540. Step 3: Total failed = 250 + 540 = 790. Answer: 790

Question 16

What is the ratio of Home & Garden sales to Books & Stationery sales?

Accepted Answer

Step 1: Home & Garden = 18% of ₹50,000 = ₹9,000. Step 2: Books & Stationery = 16% of ₹50,000 = ₹8,000. Step 3: Ratio = 9,000 : 8,000 = 9 : 8. Answer: 9:8

Question 17

What is the ratio of the number of students who failed in Department B to the number of students who failed in Department D?

Accepted Answer

Step 1: Failed in Department B = 600 − 480 = 120. Step 2: Failed in Department D = 500 − 400 = 100. Step 3: Ratio = 120 : 100 = 6 : 5. Answer: 6 : 5

Question 18

What is the total number of students who appeared in the examination across all five departments?

Accepted Answer

Step 1: Add the 'Students Appeared' column for all departments. 800 + 600 + 750 + 500 + 900 = 3550. Answer: 3550

Question 19

What is the average number of students who appeared across all five schools in the year 2021?

Accepted Answer

Step 1: Total appeared in 2021 = 600 + 500 + 800 + 400 + 300 = 2600. Step 2: Average = 2600 / 5 = 520. Answer: 520

Question 20

By what amount (in ₹) do Electronics sales exceed Sports & Outdoors sales?

Accepted Answer

Step 1: Electronics = 28% of ₹50,000 = ₹14,000. Step 2: Sports & Outdoors = 16% of ₹50,000 = ₹8,000. Step 3: Difference = ₹14,000 - ₹8,000 = ₹6,000. Answer: ₹6,000

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